Kiselev Black Holes in Anti-de Sitter Spacetime Are Not Viable

TL;DR

The paper demonstrates that Kiselev black holes in Anti-de Sitter spacetime are unstable due to brane nucleation, challenging their viability as models of black holes in such environments.

Contribution

It provides a stability analysis showing that Kiselev solutions are not viable in Anti-de Sitter spacetime because of brane nucleation instability.

Findings

Kiselev black holes are unstable in Anti-de Sitter spacetime.

The instability is caused by brane nucleation processes.

Kiselev solutions cannot reliably model black holes in AdS environments.

Abstract

While the Kiselev black hole solution does not describe a perfect fluid quintessence, it is possible that dark energy fluid is not isotropic, and so one may hope that the solution may still describe at least locally a black hole embedded in such a dark energy fluid environment. Taking into account that the accelerated expansion of the Universe is caused by a dynamical dark energy fluid, and the actual underlying cosmological constant is negative as has been sometimes suggested, we show that the Kiselev solution is untenable as it is unstable against brane nucleation instability.